Complex Fds dot proctuduct integral

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SUMMARY

The discussion focuses on calculating the line integral ∫F°ds for the vector field F(x,y) = <2xy, x² + y²> along a path defined by the unit circle in the first quadrant. A participant questioned the applicability of the equation ∫F°ds = θ2 - θ1 for this circular path. The consensus is that this equation is not applicable to the problem at hand, confirming the need for a different approach to solve the integral.

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Unart
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Homework Statement


F(x,y)=<2xy,x^2+y^2>, the path is part of the unit circle in the 1st quadrant. And I'm supposed to calculate ∫F°ds given that info

Homework Equations


My question is if this equation would apply to the following problem
∫F°ds=θ21
Since this is a circular equation.
 
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Unart said:

Homework Statement


F(x,y)=<2xy,x^2+y^2>, the path is part of the unit circle in the 1st quadrant. And I'm supposed to calculate ∫F°ds given that info

Homework Equations


My question is if this equation would apply to the following problem
∫F°ds=θ21
Since this is a circular equation.

Not sure where you got that equation, but no, it wouldn't.
 
Ok Thanks!
 

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